ON LEVY FLIGHTS IN POTENTIAL WELL

被引:0
|
作者
Sliusarenko, O. Yu. [1 ]
机构
[1] Kharkov Natl Univ, 31,Kurchatov Ave, UA-61108 Kharkov, Ukraine
来源
UKRAINIAN JOURNAL OF PHYSICS | 2007年 / 52卷 / 03期
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中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The motion of an overdamped Levy particle (a particle being under the influence of an external random force with the Levy distribution law) in a potential well (a generalized Kramers' problem) is considered. The mean crossing/escape time of the particle and the crossing/escape time probability density as a function of time are obtained. The method of numerical integration of the overdamped Langevin equation is used for two types of potential profiles and for the whole admitted region of Levy indices of the external force.
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页码:295 / 300
页数:6
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